OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
FORMULA
EXAMPLE
G.f.: A(x) = 1 + 30*x + 5850*x^2 + 1644500*x^3 +...
A(x)^2 = 1 + 60*x + 12600*x^2 + 3640000*x^3 +...+ A184890(n)*x^n +...
MATHEMATICA
FullSimplify[Table[500^n * Gamma[n+1/5] * Gamma[n+3/10] / (Gamma[n+1]^2 * Gamma[1/5] * Gamma[3/10]), {n, 0, 15}]] (* Vaclav Kotesovec, Jul 03 2014 *)
Join[{1}, With[{nn=15}, Table[5^n/(n!)^2, {n, nn}] Rest[FoldList[Times, 1, Table[ (10k+2)(10k+3), {k, 0, nn-1}]]]]] (* Harvey P. Dale, Sep 20 2014 *)
PROG
(PARI) {a(n)=(5^n/n!^2)*prod(k=0, n-1, (10*k+2)*(10*k+3))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 25 2011
STATUS
approved